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What is the Least Common Multiple of 9059 and 9066?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9059 and 9066 is 82128894.

LCM(9059,9066) = 82128894

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Least Common Multiple of 9059 and 9066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9059 and 9066, than apply into the LCM equation.

GCF(9059,9066) = 1
LCM(9059,9066) = ( 9059 × 9066) / 1
LCM(9059,9066) = 82128894 / 1
LCM(9059,9066) = 82128894

Least Common Multiple (LCM) of 9059 and 9066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9059 and 9066. First we will calculate the prime factors of 9059 and 9066.

Prime Factorization of 9059

Prime factors of 9059 are 9059. Prime factorization of 9059 in exponential form is:

9059 = 90591

Prime Factorization of 9066

Prime factors of 9066 are 2, 3, 1511. Prime factorization of 9066 in exponential form is:

9066 = 21 × 31 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 9059 and 9066.

LCM(9059,9066) = 90591 × 21 × 31 × 15111
LCM(9059,9066) = 82128894